We formulate a simple and convenient criterion under which skew-adjoint Z2- graded total differential operators are Hamiltonian, provided that their images are closed under commutation in the Lie algebras of evolutionary vector fields on the infinite jet spaces for vector bundles over smooth manifold
In this paper we find an explicit formula for the most general vector evolution of curves on RPn−1 i...
We define Lie algebroids over infinite jet spaces and obtain their equivalent representation in term...
We introduce the general structures of Lie-admissible algebras in the spaces of Gâteaux differentiab...
We formulate a simple and convenient criterion under which skew-adjoint Z2-graded total differential...
We generalize the notion of a Lie algebroid over infinite jet bundle by replacing the variational an...
In this thesis we classify singular vectors in scalar parabolic Verma modules for those pairs (sl(n,...
Hamiltonian operators for partial differential equations are ubiquitous in mathematical models of th...
In this paper we are developing a theory of rational (pseudo) difference Hamiltonian operators, focu...
For an arbitrary semisimple Frobenius manifold we construct Hodge integrable hierarchy of Hamiltonia...
First order Hamiltonian operators of differential-geometric type were introduced by Dubrovin and Nov...
We study the relationship between the classical Hamilton flow and the quantum Schrödinger evolution ...
We define Lie algebroids over infinite jet spaces and establish their equivalent representation thro...
We define Lie algebroids over infinite jet spaces and obtain their equivalent representation in term...
Let V be a vector space of dimension n + 1. We demonstrate that n-component third-order Hamiltonian ...
We extend Guillemin and Sternberg’s Realization Theorem for transitive Lie algebras of formal vector...
In this paper we find an explicit formula for the most general vector evolution of curves on RPn−1 i...
We define Lie algebroids over infinite jet spaces and obtain their equivalent representation in term...
We introduce the general structures of Lie-admissible algebras in the spaces of Gâteaux differentiab...
We formulate a simple and convenient criterion under which skew-adjoint Z2-graded total differential...
We generalize the notion of a Lie algebroid over infinite jet bundle by replacing the variational an...
In this thesis we classify singular vectors in scalar parabolic Verma modules for those pairs (sl(n,...
Hamiltonian operators for partial differential equations are ubiquitous in mathematical models of th...
In this paper we are developing a theory of rational (pseudo) difference Hamiltonian operators, focu...
For an arbitrary semisimple Frobenius manifold we construct Hodge integrable hierarchy of Hamiltonia...
First order Hamiltonian operators of differential-geometric type were introduced by Dubrovin and Nov...
We study the relationship between the classical Hamilton flow and the quantum Schrödinger evolution ...
We define Lie algebroids over infinite jet spaces and establish their equivalent representation thro...
We define Lie algebroids over infinite jet spaces and obtain their equivalent representation in term...
Let V be a vector space of dimension n + 1. We demonstrate that n-component third-order Hamiltonian ...
We extend Guillemin and Sternberg’s Realization Theorem for transitive Lie algebras of formal vector...
In this paper we find an explicit formula for the most general vector evolution of curves on RPn−1 i...
We define Lie algebroids over infinite jet spaces and obtain their equivalent representation in term...
We introduce the general structures of Lie-admissible algebras in the spaces of Gâteaux differentiab...
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